How to Find GCF of 1013/970, 1812/6522?

GCF of 1013/970, 1812/6522

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1013/970, 1812/6522 i.e 1/3163170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1013/970, 1812/6522.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1013/970,1812/6522?

Given fractions are 1013/970,1812/6522

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1013/970,1812/6522, numerators are 1013,1812

Denominators are 970,6522

The GCF of 1013,1812 is 1 .

LCM of 970,6522 is 3163170.

The greatest common factor of 1013/970,1812/6522 = [GCF of 1013,1812]/[LCM of 970,6522]= 1/3163170

Therefore, the GCF of 1013/970,1812/6522 is 1/3163170.

Greatest Common Factor of 1013,1812

To find the highest common factor of 1013,1812, we have to find the factors of both numbers and list the highest common factor.

The factors of 1013 are 1, 1013

The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

The HCF of 1013,1812 is 1.

Lets's calculate GCF of 1013,1812

Greatest Common Factor (GCF) of 1013,1812 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1013,1812 By Matching Biggest Common Factor Method

Now, list down the factors of 1013

1,1013

Now, list down the factors of 1812

1,2,3,4,6,12,151,302,453,604,906,1812

Greatest Common Factor

We found the factors 1013,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 1013,1812 is 1.

Lets's calculate LCM of 970,6522

Lowest Common Multiple of 970,6522 using Common Division

2	970, 6522
	485, 3261

∴ So the LCM of the given numbers is 2 x 485 x 3261 = 3163170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3163170

Therefore, the GCF of Fractions 1013/970,1812/6522 is 1/3163170

Least Common Multiple of 970,6522 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 970,6522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,6522) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(970,6522) x common factors =2 x 1 = 2

LCM(970,6522) = ( 970 × 6522 ) / 2

LCM(970,6522) = 6326340 / 2

LCM(970,6522) = 3163170

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1013/970, 1812/6522

1. What is the HCF of 1013,1812?

The HCF of 1013,1812 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 1013/970, 1812/6522?

Answer: GCF of Numerators as per given numbers 1013/970, 1812/6522 is

GCF of Numerators i.e. for 1013,1812 is 1

LCM of denominators i.e. for 970,6522 is 3163170.

Thus, GCF of Fractions is 1/3163170.Finally, GCF of Fractions for 1013/970, 1812/6522 is 1/3163170.